SATS :: Volume #11

#1031: Future of theory of numbers


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On stage. 台上。 The seventh blank slate had been filled up! 第七块白板已经被填满! When the eighth blank slate was towed to the stage on, the victory and defeat basically does not have any suspense. 当第八块白板被拖到台上,胜负基本上已经没有了任何的悬念。 That smooth mathematical formula and clear mentality, as well as that made one thump the table and shout praise to the utilization and understanding of mathematical instrument, has conquered in the almost complete audience. 那流畅的算式和清晰的思路,以及那令人拍案叫绝地对数学工具的运用与理解,已经征服了在现场几乎全部的听众。 Originally the pure complex variable function proposition can such ups and downs be strange. 原来纯粹的复变函数命题能够如此的曲折离奇。 Originally complex planes and differential manifold these two concepts of seeming like at all not in the same dimension, can in achieve about Riemann zeta function issue in highly is so unified. 原来复平面和微分流形这两个看似根本不在同一维度的概念,能够在关于黎曼zeta函数的问题上达成如此高度统一。 Pen of that suspension in blank slate, is similar to Beethoven's music director stick. The chaotic prime number in his pen tip, was similar to be given the note of life significance, is rapping the heartstrings of audience everyone. 那支悬在白板上的笔,就如同贝多芬的指挥棒。杂乱无章的素数在他的笔尖,就如同一颗颗被赋予了生命意义的音符,敲击着现场听众每一个人的心弦。 Such as Schultz said that all these as if come from void, does not seem the performance of this world. 就如舒尔茨所说的那样,这一切就仿佛来自虚空,就好像不属于这个世界的演奏。 Sat the audience under stage wishes one could this public lecture never to finish, that washes out the sound of the heart of their soul never to stop. 坐在台下的听众恨不得这场报告会永远不要结束,那冲刷着他们灵魂的心音永远不要停下。 Should better this work, until the entire universe by that tip that is full of the charm unravels, the complete secret about God language will reveal in their front...... 最好就这样一直进行下去,直到整个宇宙被那支充满魔力的笔锋抽丝剥茧,将关于上帝语言的全部秘密都揭示在他们的面前…… Sits is staring on the stage under the stage, Morina is biting the lip lightly, puts the double fist on knees to pinch tightly and loosen unceasingly, in the stubborn look wrote all over the unwilling color. 坐在台下凝望着台上,莫丽娜轻咬着嘴唇,搁在双膝上的双拳不断捏紧又松开,倔强的眼神中写满了不甘心的色彩。 One surrounded she innumerable day and night shackles layer upon layer, under the brushwork of that passing clouds and flowing water, 11 cut off superficially, even makes him stop for one second, even if the light pressed brow cannot achieve. 一层层原本困住她无数个日夜的桎梏,在那行云流水的笔触之下,就这么轻描淡写地被一一斩断了,甚至就连让他停住一秒、哪怕是轻蹙眉头都做不到。 This powerless feeling, making her whole body fill frustration. 这种无力感,让她浑身充满了挫败。 Even if she does not have the qualifications for a proposition whether was proven to draw the conclusion, but lingers from that in the atmosphere merely, detection that she can still be clear about, this does not have the matter of suspense. 即便她没有资格为着一命题是否被证明下定论,但仅仅从那萦绕在现场的气氛中,她也能清楚的察觉,这已经是没有悬念的事情。 After all, that universality of contradictions will not deceive people suddenly. 毕竟,那一丝茅塞顿开的恍然是不会骗人的。 She, convinced...... 就连她自己,都是被说服的一员…… Sits in Morina side, her past teacher Sophie Morrell- the math professor who this youth, corner of the eye has no longer started to climb up the wrinkles, looked at oneself once student one eyes, said with the gentle sound. 坐在莫丽娜的旁边,她昔日的导师索菲・莫雷尔-这位青春早已不再、眼角已经开始爬上鱼尾纹的数学教授,看了自己曾经的学生一眼,用轻柔的声音说道。 In my opinion, at least over 80% possibilities, what to do did he truly achieve...... you to plan?” “在我看来,至少八成以上的可能性,他确实是做到了……你打算怎么办?” Morina silent a while, hung down slightly a pupil. 莫丽娜沉默了一会儿,微微低垂了眼眸。 Does not know, perhaps first a going home false said again......” “不知道,也许先回家度个假再说……” She spent for ten years tracks down this proposition the answer. 她花了十年的时间去追寻这个命题的答案。 Although is not willing to accept such result, but irreversible fact so brutal. 虽然不愿意承认这样的结果,但无可扭转的事实就是如此的残酷。 Was she loses. 是她输了。 Looks at depressed Morina, Sophie sighs gently, comforted one to say. 看着消沉的莫丽娜,索菲轻轻叹了口气,安慰了一句说道。 You should not bore into tip of horn, in this world besides the Riemann hypothesis still has the proposition that is worth pondering.” “你不应该钻进牛角尖里,除了黎曼猜想之外这个世界上还存在着许多值得你去思考的命题。” Morina silent a while, raised the head to say. 莫丽娜沉默了一会儿,抬起头说道。 Perhaps.” “也许吧。” ...... …… Yes. 是的。 The proof was conducted this step, basically had nothing suspense. 证明进行到了这一步,基本上已经没有任何的悬念了。 Especially when the eighth blank slate writes about half, even if from most starts to maintain total silence to sit Professor Faltings there, the pupil still contracted instantaneously. 尤其是当第八块白板写到一半时,即便是从最开始就一语不发坐在那里的法尔廷斯教授,瞳孔也是瞬间收缩了一下。 In just flash. 就在刚刚的一瞬间。 In his heart some together locked in iron gate, together with a that wide stone wall, shortly one and crashes loudly. But after the ruins of that avalanche, he sees a piece had never seen, the brand-new world...... 他心中某一道被锁住的铁门,连同那堵一步宽的石墙,在顷刻之间一并轰然崩塌。而在那崩塌的废墟之后,他看见了一片从未见过的、崭新的世界…… When has such feeling previous time is, he is not quite clear. 上一次产生这样的感觉是什么时候,他已经记不太清楚了。 He only remembers merely that little while seem young, that little while Grothendieck has not returned to native place, but young and impetuous, have written one to the Popes of that algebra Geometry educational world in he now looks like weak incomparable the letter/believes...... 他仅仅只记得,那会儿自己似乎还很年轻,那会儿格罗滕迪克还没有归隐,而年轻气盛的自己,给那位代数几何学界的教皇写过一封在他现在看来“幼稚无比”的信…… Sits in his side, same did not say a word with him from beginning to end, is staring at Professor Deligne of blank slate merely meticulously, suddenly opened the mouth. 坐在他的旁边,和他一样从头到尾都一言不发,仅仅只是一丝不苟地盯着白板的德利涅教授,忽然开口了。 You thought that he did achieve?” “你觉得他做到了吗?” Somewhat unexpected, Professor Faltings who this issue asked gawked slightly , after calming down, gave a conservative reply. 被这个问题问的有些猝不及防,法尔廷斯教授微微愣了下,定了定神之后,给出了一个保守的回答。 Over 90%.” “九成以上。” Hears these words, usually always serious in speech and manner Professor Deligne, smiles suddenly, stops said a moment later. 听到这句话,平时总是不苟言笑的的德利涅教授,忽然笑了笑,停顿片刻之后才说道。 When you also started to draw a conclusion with this ambiguous expression.” “什么时候你也开始用这种模棱两可的措辞来下结论了。” The expression on face because of teasing of old friend has not had any change, craving Professor Faltings this time does not have the venomous tongue to go back in Germanic type is humorous rarely, but said calmly. 脸上的表情并没有因为老朋友的调侃而产生任何的变化,热衷于“日耳曼式幽默”的法尔廷斯教授这次罕见地没有毒舌回去,只是不动声色地说道。 „...... After all is the Riemann hypothesis, we have to be prudent. Let alone other light is asking my opinion, how you feel?” “……毕竟是黎曼猜想,我们不得不慎重。何况别光是问我的意见,你自己又是如何觉得的呢?” Regarding this sharp question, Professor Deligne silent a while, says. 对于这个尖锐的反问,德利涅教授沉默了一会儿,开口说道。 I could not find an appropriate counter-example to refute him temporarily, seemed me unable to find non- ordinary zero point beyond a critical line same......” “我暂时找不到一个合适的反例来反驳他,就好像我找不到一个临界线之外的非平凡零点一样……” , Professor Deligne with the affirmative sound, continued to say. 顿了顿,德利涅教授用肯定的声音,继续说道。 I can only say, his proof logically is the self consistent method.” “我只能说,他的证明在逻辑上是自洽的。” Professor Faltings looked at his one eyes slightly surprisedly, but has not said anything, but moved out of the way the line of sight from his face lightly. 法尔廷斯教授略微惊讶地看了他一眼,不过也没说什么,只是平淡地从他脸上挪开了视线。 Although has not stated clearly, but the meaning of Deligne he has understood. 虽然没有明说,但德利涅的意思他已经明白了。 This reply, almost on that person of proof with the approval stage, the difference has also only missed a public position statement...... 这种回答,几乎已经与认可台上那人的证明,区别也只差一个公开表态了…… Meanwhile, not only Deligne and Faltings were discussing this issue, sits in another side of conference site, the almost similar discussion is also conducted. 与此同时,不只是德利涅和法尔廷斯在讨论着这个问题,坐在会场的另一侧,几乎同样的讨论同样在进行着。 When saw Lu Zhou to write down that line of crucial mathematical formulas, Fefferman looked that to sat in nearby Terence Tao, asked. 当看到陆舟写下了那行关键性的算式,费弗曼看向了坐在旁边的陶哲轩,开口询问道。 „Do analytic theory of numbers you have the authority compared with me...... your view are?” “解析数论这块你比我更有权威……你的看法是?” In the eye is glittering the exciting appearance, however anything can a point Professor Tao not open the mouth with enough time, sits that sloven man in his side not far away, then pinches tightly the fist excitedly, almost stood. 眼中闪烁着兴奋的神采,然而什么都会一点的陶教授还没来得及开口,坐在他旁边不远处的那个不修边幅的男人,便激动地捏紧拳头,差点站了起来。 Is this!” “就是这个!” He is roaring low voice lowly, the fist hammered excitedly on own thigh, turned a blind eye to resentful face the line of sight from side scholar, is divulging in the heart adamantly the exciting mood. 他小声地低吼着,拳头兴奋地锤在了自己的大腿上,对来自旁边学者的略带愠色的视线视若无睹,我行我素地宣泄着心中激动的情绪。 It seems like, he watches is not a public lecture, but is one 's blood bubbles up to the brim sports match. 就好像,他观看的不是一场报告会,而是一场热血沸腾的球赛。 Looked at that direction one dumbfoundedly, was broken Terence Tao of topic to take back the line of sight, looked that wrote all over accidental/surprised Professor Fefferman to the same face, shrugs to say. 目瞪口呆地看了那个方向一眼,被打断了话题的陶哲轩收回视线,看向了同样脸上写满意外的费弗曼教授,耸了耸肩说道。 Probably...... this issue some people have replied for me.” “好像……这个问题已经有人替我回答了。” As for my view , like him.” “至于我的看法,和他一样。” ...... …… As the final that line of mathematical formulas write down. 随着最后的那一行算式写下。 As that hangs the tip in blank slate to put down finally gently. 随着那悬在白板上的笔锋终于轻轻放下。 At this moment, all the sounds of nature entirely static. 此刻,万籁俱静。 The entire conference site cannot hear a sound. 整个会场听不见一丝声响。 Retroceded two steps, looks in the blank slate that all various professions neat handwriting mathematical formula, Lu Zhou used for probably a half minute tasted this full feeling, reviewed this several years in each that on the road of this pilgrimage passes through difficultly...... 后退了两步,看着白板上那一行行字迹工整的算式,陆舟用了大概半分钟的时间去回味了这酣畅淋漓的感觉,回顾了这数年来在这条朝圣之路上艰难走过的每一步…… Also gave under the stage audience a half minute, reorganizes these contents that he told a moment ago. 同时也给了台下听众们半分钟的时间,去整理他刚才所讲述的那些内容。 clear settled the somewhat hoarse throat, Lu Zhou then faced the silent conference site, said slowly. 清了清有些沙哑的嗓子,陆舟回头面向了寂静一片的会场,缓缓开口说道。 Arrives here, non- ordinary zero point the distributed issue about Riemann zeta function, we have been able to reply with an affirmative statement. Namely, all non- ordinary zero points of Riemann zeta function are located in the complex planes in the re (s ) = 1 / 2 straight line.” “到这里,关于黎曼zeta函数的非平凡零点的分布问题,我们已经可以用一句肯定的陈述去回答。即,黎曼zeta函数的所有非平凡零点都位于复平面上re(s)=1/2的直线上。” Proved that here had finished, completely has not explored also came to the end here finally. However, actually just started about the future exploration, in this world still has many us not to know issue how should answer.” “证明到这里已经结束了,未尽探索也在这里终于走到了尽头。然而,关于未来的探索却才刚刚开始,这个世界上仍然存在着许多我们不知道该如何去回答的问题。” For example takes Dirichlet l progression the analytic continuation, all non- ordinary zero points of Dirichlet l function is also located in the complex planes re (s ) = 1 / 2 straight line? And automorphy l function how? These profound issues we are still not able to give an affirmative reply.” “比如作为狄利克雷l级数的解析延拓,狄利克雷l函数的所有非平凡零点是否同样位于复平面re(s)=1/2的直线上?以及自守l函数又如何呢?这些深刻的问题我们仍然无法给出一个肯定的回答。” „The experience of history told us, whenever we solved a trouble, certainly will have many troublesome is waiting for us in behind. But I believe, this certainly is a happy worry, but our learning also therefore prosper.” “历史的经验告诉我们,每当我们解决一个麻烦,一定会有更多的麻烦在后面等待着我们。但我认为,这一定是一个幸福的烦恼,而我们的学术也正是因此而繁荣。” At this point, Lu Zhou, continued to say. 说到这里,陆舟顿了顿,继续说道。 Some words I am planned, when the educational world gives explicit qualitative after my paper said that but...... actually has no difference in my opinion.” “有些话我原本是打算等到学界对我的论文给出一个明确的定性之后再说的,不过……在我看来其实没什么区别。” The silent conference site is completely silent. 寂静的会场鸦雀无声。 The silence that is silent from that felt that heavy approval, Lu Zhou selected gently, is responding to all anticipation looks, enhanced the volume to continue to say. 从那寂静无声的沉默中感受到了那份沉甸甸的认同,陆舟轻轻点了下头,回应着所有期待的眼神,提高了音量继续说道。 Reply that friend's inquiry, after the Riemann hypothesis was previously completed, does the analytic theory of numbers meet what course to follow?” “回答先前那位朋友的提问,黎曼猜想完成之后,解析数论会何去何从?” My answer is, this ancient division/discipline will certainly send to radiate the brand-new vigor, becoming was more prosperous than the past.” “我的答案是,这门古老的学科一定会发焕发出全新的活力,变得比以往更加繁荣。” Perhaps as for me, will study Dirichlet l function and promotion about Riemann hypothesis...... is also generally the Riemann hypothesis, possibly studies the Riemann zeta function non- ordinary zero point with the friend of mine to correlation function back physics significance, this sounds similarly is exciting enough.” “至于我自己,也许会去研究狄利克雷l函数以及关于黎曼猜想的推广……也就是广义黎曼猜想,也可能和我的朋友去研究黎曼zeta函数非平凡零点的对关联函数背后的物理意义,这听起来的同样足够激动人心。” Naturally, actually my recognizes, favors a greater proposition.” “当然,其实我个认,更倾向于一个更宏大的命题。” Stopped for probably three seconds, observed the situation in a conference site that both to gather in oneself vision, has unloaded Lu Zhou of all shoulder poles, the deep breath the one breath, said that him with the tone with ease already the words that wants to speak. 停顿了大概三秒钟,环视了一圈会场里那一双双汇聚在自己身上的目光,已经卸下所有担子的陆舟,深呼吸了一口气,用轻松地口吻说出了那句他早就想说的话。 „......, Unified algebra and Geometry!” “……即,统一代数与几何!” Almost said the flash of these words in Lu Zhou, the entire conference site was similar to the boiling water that sauted, shortly will seethe with excitement! 几乎就在陆舟说出这句话的一瞬间,整个会场就如同一锅烧开的开水,顷刻之间沸腾了! Unified algebra and Geometry! 统一代数与几何 The shock and suspicion, curious and puzzled, snort contemptuously or unemotional...... 震惊、怀疑、好奇、困惑、嗤之以鼻或面无表情…… Unification...... algebra and Geometry? My God!” “统一……代数和几何?我的天!” This, this was also too exaggerating.” “这,这也太夸张了吧。” Does not know the immensity of heaven and earth! How the Riemann hypothesis solution cannot look at the academic circle qualitative, has inflated!” “不知天高地厚!黎曼猜想解决没都还得看学术界怎么定性呢,就已经这么膨胀了!” But if he, said that does not permit also really to have the possibility......” “但如果是他的话,说不准还真有可能……” The noise sound of all forms, formed a mighty current of galloping under the stage, is attacking the eardrum and nerve of everyone. 形形色色的喧嚣声,在台下汇成了一道奔腾的洪流,冲击着每一个人的耳膜和神经。 Academician king stared in a big way the eyes surprisedly, is unable to believe that Lu Zhou will say the so crazy thought unexpectedly suddenly. 王院士惊讶地瞪大了双眼,无法相信陆舟居然会突然说出如此疯狂的念头。 On the face of Morina wrote all over shock, this is a Riemann hypothesis is without a doubt greater and unattainable mountain peak, she does not understand that he has completed so the cause obviously, why must establish such flag at this time. 莫丽娜的脸上写满了震撼,毫无疑问这是一个比黎曼猜想更加宏大且高不可攀的山峰,她不明白他明明都已经完成了如此伟业,为什么还要在这时候立下这样的flag。 Similarly, Faltings's pupil also because of shocking, but enlarged slightly. 同样的,法尔廷斯的瞳孔也因为震惊而微微放大了。 But his shock, and most people some present are not quite same. 只不过他的震惊,和在座的绝大多数人都有些不太一样。 Stares is standing that young people on stage, this old person muttered low voice talked over one. 盯着站在台上的那个年轻人,这位老人小声喃喃自语地念叨了一句。 „...... Was forestalled unexpectedly.” “……居然被抢先了。” Unified algebra and Geometry...... 统一代数与几何…… This is he plans before the last matter that the retirement handles. 这正是他打算在退休之前做的最后一件事情。 Without thinking is so unexpectedly skillful, this plan just started, some person and he thinks that together. 没想到居然就有这么巧,这个计划才刚刚开始,就有人和他想到一块去了。
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